... Limited 2025 Emerald Publishing Limited Licensed re-use rights only Volterra integro-differential equations of the third-kind Meshless method Shifted Chebyshev polynomials Collocation approach Error analysis 45Dxx 45Axx 45Gxx 47Gxx Most real-world physical issues...

... the following problem: Essaid Aourir can be contacted at: essaid.aourir@edu.uiz.ac.ma 22 09 2024 24 11 2024 02 01 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Moving least square approximation Meshless method Third-kind...

... to numerically simulate the viscoplastic extrusion process – the initial phase of the FFF. Unlike the FEM, in meshless methods, there is no pre-established relationship between the nodes so the nodal mesh will not face mesh distortions and the discretization can easily be modified by adding or removing nodes...

... the discontinuous meshless displacement field function. In this study the contact surface equation is aimed to derive from the improved Coulomb friction contact model. Design/methodology/approach In this paper based on the basic idea of meshless method, an improved moving least squares approximation function...

... homogenous and non-homogenous soils are solved, and the results are compared with those existing analytical solution and well-known finite element-based software SEEP/W. Findings The results indicate that the present meshless method is capable of simulating steady-state and unsteady seepage problems...

... at: krishna.singh@me.iitr.ac.in 31 01 2021 02 04 2021 13 05 2021 24 05 2021 © Emerald Publishing Limited 2021 Emerald Publishing Limited Licensed re-use rights only Interpolating MLS GMRES BiCGSTAB Heat conduction Meshless method Over the decades, the finite...

...Armagan Karamanli Purpose The study aims to present a new meshless method based on the Taylor series expansion. The compact supported radial basis functions (CSRBFs) are very attractive, can be considered as a numerical tool for the engineering problems and used to obtain the trial solution...

... and application of meshless methods and surrogate models to the DED process. Design/methodology/approach Finite pointset method (FPM) is used to solve conservation equations involved in the DED process. A surrogate model is then established for the DED process using design of experiments with powder feeding...

... radial basis functions which establish an effective and stable method to solve electromagnetic integro-differential equations. As the scheme does not need any background meshes, it can be identified as a meshless method. Pouria Assari can be contacted at: assari@aut.ac.ir 29 08 2017 20...

...Zahur Ullah; Will Coombs; C Augarde Purpose – A variety of meshless methods have been developed in the last 20 years with an intention to solve practical engineering problems, but are limited to small academic problems due to associated high computational cost as compared to the standard finite...

... procedure. Such a problem can be found in other similar boundary meshless methods, for instance the method of radial basis functions (RBF). This problem lies in the inability of the RBF expansion to capture the singularity of the solution (Bernal and Kindelan, 2010). The main idea of this paper...

... is presented. Furthermore, the drawback of shear locking still remained in the meshless methods, contrary to early expectations. Especially, methods to remove locking in low order approximations are more difficult to devise for the MLS (Lancaster and Salkauskas, 1981) schemes, than for Galerkin finite...

...Suvranu De; Klaus‐Jürgen Bathe Computational efficiency and reliability are clearly the most important requirements for the success of a meshless numerical technique. While the basic ideas of meshless techniques are simple and well understood, an effective meshless method is very difficult...